On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers
Abstract
In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=({\gamma}/(x_{n}(x_{n-1}+{\alpha})+\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and {\alpha}, \b{eta} and {\gamma} with {\gamma} are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.
- Publication:
-
arXiv e-prints
- Pub Date:
- June 2019
- DOI:
- 10.48550/arXiv.1906.11629
- arXiv:
- arXiv:1906.11629
- Bibcode:
- 2019arXiv190611629O
- Keywords:
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- Mathematics - Dynamical Systems;
- 39A10;
- 39A30